What is the general solution for tan(x)= 16/12 ?

The general solution for tan(x)= 16/12 is x=0.92729…+pin

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tan(x)= 16/12

tan (x) = \frac{16}{12}

x = 0.92729 \dots + πn

Degrees

x = 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{16}{12}

Cancel the common factor:

4

tan (x) = \frac{4}{3}

Apply trig inverse properties

tan (x) = \frac{4}{3}

General solutions for

tan (x) = \frac{4}{3}

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{4}{3}) + πn

x = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

x = 0.92729 \dots + πn

sin (4 x + 10) = sin (9 0^{\circ})

y, - \frac{1}{2} cot (y) = \frac{t ^{2}}{+ 2} + C

3 sec (2 θ) + 2 = 0

4 sin^{2} (x) + 1 = - 4 sin (x)

cos (3 x + 6 0^{\circ}) = 0

What is the general solution for tan(x)= 16/12 ?
The general solution for tan(x)= 16/12 is x=0.92729…+pin